Least Common Multiple of 72/752, 1726/4067

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/752, 1726/4067 quickly i.e. 62136 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/752, 1726/4067 is 62136.

LCM(72/752, 1726/4067) = 62136

LCM of 72/752, 1726/4067

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 72/752,1726/4067

Given numbers are 72/752,1726/4067

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 72,1726

Least Common Multiple of Numerators i.e. LCM of 72,1726 is 62136.

GCF of Denominators means GCF of 752,4067 as per the given fractions.

GCF of 752,4067 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,1726

LCM of Fractions 72/752,1726/4067 is 62136

2 72, 1726
36, 863

∴ So the LCM of the given numbers is 2 x 36 x 863 = 62136

Least Common Multiple of 72,1726 with GCF Formula

Least Common Multiple of 72,1726 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 72,1726 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,1726) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(72,1726) x common factors =2 x 1 = 2

LCM(72,1726) = ( 72 × 1726 ) / 2

LCM(72,1726) = 124272 / 2

LCM(72,1726) = 62136


Lets's calculate GCF of 752,4067

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 62136/1

Therefore the LCM of Fractions 72/752,1726/4067 is 62136

Greatest Common Factor of 752,4067 By Matching Biggest Common Factor Method

Greatest Common Factor of 752,4067 By Matching Biggest Common Factor Method

Factors of 752

List of positive integer factors of 752 that divides 752 without a remainder.

1,2,4,8,16,47,94,188,376,752

Factors of 4067

List of positive integer factors of 4067 that divides 4067 without a remainder.

1,7,49,83,581,4067

Greatest Common Factor

We found the factors 752,4067 . The biggest common factor number is the GCF number.
So the greatest common factor 752,4067 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 72/752, 1726/4067

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 72/752, 1726/4067?

Answer: LCM of Numerators as per given numbers 72/752, 1726/4067 is

LCM of Numerators i.e. for 72,1726 is 62136

GCF of denominators i.e. for 752,4067 is 1.

Thus, LCM of Fractions is 62136.Finally, LCM of Fractions for 72/752, 1726/4067 is 62136.